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Finding the Third Proportional to 289.13 and 349.88

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Solution

The third proportional to 289.13 and 349.88 is: 423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 349.88 = 349.88 : x
  2. Step 2: Convert to fraction form
    289.13/349.88 = 349.88/x
  3. Step 3: Cross multiply
    289.13x = 349.88 × 349.88
  4. Step 4: Simplify right side
    289.13x = 122,412.52
  5. Step 5: Solve for x
    x = 122,412.52/289.13
  6. Step 6: Final answer
    x = 423.39

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.